Question

Santosh (S) is four more than three times the age of his cousin (C). If Santosh is 49 years old, then what is the age of his cousin?"

A) 49 + 4 = 53

B) 49 = 3C + 4

C) 49 = C + 4

D) C/4 + 3 = 49

Answer 1

The problem is solved by setting up the equation S = 3C + 4 with the given information that Santosh is 49 years old. The correct equation to represent this relationship is 49 = 3C + 4. Solving the equation yields the cousin's age as 15 years.

Step-by-step explanation:

The question deals with a basic algebra problem involving the ages of two individuals, Santosh and his cousin. We are given that Santosh (S) is 'four more than three times the age of his cousin (C).' Mathematically, this can be written as S = 3C + 4. Given that Santosh's age (S) is 49, we substitute S with 49 in the equation, making it 49 = 3C + 4.

Now, to find the age of the cousin, we need to solve for C. We start by subtracting 4 from both sides of the equation which gives us 49 - 4 = 3C. This simplifies to 45 = 3C. Now, by dividing both sides by 3, we get C = 15. Therefore, Santosh's cousin is 15 years old.